Question

How do you rationalize the denominator `5/(sqrt(28x))`?

Answer 1

You could rationalize the denominator of `5/sqrt(28x)`
by multiplying by `sqrt(28x)/sqrt(28x)`

`5/sqrt(28x) * sqrt(28x)/sqrt(28x)`

`color(white)("XXXXX")` `= (5sqrt(28x))/(28x)`

Note this could be simplified a little by noting that `28 = 2^2*7`, so
`color(white)("XXXXX")` `= (5sqrt(7x))/(14x)`